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Finding the Fourth Proportional to 384.05, 532.71 and 370.22

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Solution

The fourth proportional to 384.05, 532.71 and 370.22 is: 513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 532.71 = 370.22 : x
  2. Step 2: Convert to fraction form
    384.05/532.71 = 370.22/x
  3. Step 3: Cross multiply
    384.05x = 532.71 × 370.22
  4. Step 4: Simplify right side
    384.05x = 197,215.38
  5. Step 5: Solve for x
    x = 197,215.38/384.05
  6. Step 6: Final answer
    x = 513.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.